What is the Greatest Common Factor of 64462 and 64480?

Greatest common factor (GCF) of 64462 and 64480 is 2.

GCF(64462,64480) = 2

We will now calculate the prime factors of 64462 and 64480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64462 and 64480.

How to find the GCF of 64462 and 64480?

We will first find the prime factorization of 64462 and 64480. After we will calculate the factors of 64462 and 64480 and find the biggest common factor number .

Step-1: Prime Factorization of 64462

Prime factors of 64462 are 2, 167, 193. Prime factorization of 64462 in exponential form is:

64462 = 2¹ × 167¹ × 193¹

Step-2: Prime Factorization of 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 2⁵ × 5¹ × 13¹ × 31¹

Step-3: Factors of 64462

List of positive integer factors of 64462 that divides 64462 without a remainder.

1, 2, 167, 193, 334, 386, 32231

Step-4: Factors of 64480

List of positive integer factors of 64480 that divides 64462 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 32, 40, 52, 62, 65, 80, 104, 124, 130, 155, 160, 208, 248, 260, 310, 403, 416, 496, 520, 620, 806, 992, 1040, 1240, 1612, 2015, 2080, 2480, 3224, 4030, 4960, 6448, 8060, 12896, 16120, 32240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64462 and 64480. The biggest common factor number is the GCF number.
So the greatest common factor 64462 and 64480 is 2.

Also check out the Least Common Multiple of 64462 and 64480